Exams

cos(A+B) + cos(A-B) is equal to

In the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to
be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.
Statements:
I. Some pens are pencils.
II. All pencils are erasers.
Conclusions:
I. Some pencils are not pens.
II. Some erasers are not pens.

In the following question, four groups of three numbers are given. In each group the second and third number are related to the first number by a Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

Article 31B of the Indian Constitution "Validation of certain Acts and Regulations" deals with the

Which of these railway stations is a World Heritage Site?

In the question, a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in two matrices given below. The columns and rows of Matrix I are numbered from 0 to 4 and that of Matrix II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g., 'K' can be represented by 20, 34, etc. and 'Z' can be represented by 67, 88 etc. You have to identify the set for the word 'PURE'.

AB is a chord of the circle and its center is “O”. ON is perpendicular to AB. If the length of AB=20 cm, ON-(2√11) cm, find the radius (in cm) of the circle.

In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If asentence is free from error, select 'No Error'.

Internet Service Providers (ISPs) should provide us (1)/ with open networks and should not block or discriminate for (2)/ any application or content that rides overthose networks. (3)/ No error (4)